41079168 has 144 divisors (see below), whose sum is σ = 128608740. Its totient is φ = 12579840.

The previous prime is 41079149. The next prime is 41079193. The reversal of 41079168 is 86197014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194583 + ... + 194793.

Almost surely, 2^41079168 is an apocalyptic number.

41079168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64304370).

41079168 is an abundant number, since it is smaller than the sum of its proper divisors (87529572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41079168 is a wasteful number, since it uses less digits than its factorization.

41079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 41079168 is about 6409.3032382623. The cubic root of 41079168 is about 345.0435231796.

The spelling of 41079168 in words is "forty-one million, seventy-nine thousand, one hundred sixty-eight".